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24 April 2024
 
  » arxiv » 1303.3423

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On the continuum limit of Landau gauge gluon and ghost propagators in SU(2) lattice gauge gluodynamics
I. Bogolubsky ; E.-M. Ilgenfritz ; M. Müller-Preussker ; A. Sternbeck ;
Date 14 Mar 2013
AbstractWe continue the systematic computation of Landau gauge gluon and ghost propagators of SU(2) gluodynamics using a sequence of increasing lattice sizes L^4 up to L=112 with corresponding eta-values chosen to keep the linear physical size a(eta)L ~ 9.6 fm fixed. To extremize the Landau gauge functional we employ simulated annealing combined with subsequent overrelaxation. Renormalizing the propagators at momentum mu= 2.2 GeV we observe quite strong lattice artifacts for the gluon propagator as well as for the ghost dressing function within the momentum region q < 1.0 GeV. The dependence on the lattice spacing for the gluon propagator at lowest accessible physical momentum values does not yet allow a simple extrapolation to the continuum limit. On the contrary, the running coupling derived from the bare dressing functions seems less affected by lattice artifacts.
Source arXiv, 1303.3423
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